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» The b-chromatic Number of a Graph
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DM
2008
119views more  DM 2008»
13 years 7 months ago
A generalised upper bound for the k-tuple domination number
In this paper, we provide an upper bound for the k-tuple domination number that generalises known upper bounds for the double and triple domination numbers. We prove that for any ...
Andrei Gagarin, Vadim E. Zverovich
APPML
2008
82views more  APPML 2008»
13 years 7 months ago
The k-tuple domination number revisited
The following fundamental result for the domination number (G) of a graph G was proved by Alon and Spencer, Arnautov, Lov
Vadim E. Zverovich
MST
2006
99views more  MST 2006»
13 years 7 months ago
Complexity of the Exact Domatic Number Problem and of the Exact Conveyor Flow Shop Problem
We prove that the exact versions of the domatic number problem are complete for the levels of the boolean hierarchy over NP. The domatic number problem, which arises in the area of...
Tobias Riege, Jörg Rothe
IWPEC
2004
Springer
14 years 29 days ago
Computing Small Search Numbers in Linear Time
Let G = V; E be a graph. The linear-width of G is de ned as the smallest integer k such that E can be arranged in a linear ordering e1; : : : ; er such that for every i = 1; :...
Hans L. Bodlaender, Dimitrios M. Thilikos
GD
2006
Springer
13 years 11 months ago
The Number of Triangulations on Planar Point Sets
We give a brief account of results concerning the number of triangulations on finite point sets in the plane, both for arbitrary sets and for specific sets such as the n
Emo Welzl